MATH 4321 HOMEWORK (Spring
2014)
MATH 4321 HOMEWORK (Spring
2014)
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Back to Dr Vancliff's Spring
2014 teaching page
Book = A First Course in
Abstract Algebra, 7th Ed, by J. B. Fraleigh, Addison-Wesley.
Note
that there might be more than one correct answer for any given
question. Homework will not be collected.
LAST
REVISION: 4/24/14.
Dates indicate homework assigned
in lecture that day. Dates for future assignments are tentative, and
subject to change. (However, it will be similar to the homework
posted here.)
Skimming
through the main ideas in a section shortly before that section is
covered in class should help you understand the lecture -- try it!
|
01/14/14 |
Read lecture notes & do Sec 18 pgs 174/5: 1, 3, 5, 7, 9, 11. |
|
01/16/14 |
Read lecture notes, pages
167-174 & do Sec 18 pgs 175/6: 14, 16, 19, 20, 31, 38, |
|
01/21/14 |
Read lecture notes & finish previous assignments. |
|
01/23/14 |
Read lecture notes & Sec 19 & do Sec 19 pgs 182/3: 14, 23, 24, 28, 5-12, 27, 29. By this time, you have
seen quite a few theorems. It is best NOT to memorize |
|
01/28/14 |
Read lecture notes & Sec 20 up to pg 187.5 & do Sec 20 pgs 189/90: 1-3, 5, 24, 23a-h (justify answers). |
|
01/30/14 |
Quiz today. It will cover material through Sec 20 inclusive: see quiz information sheet. Read lecture notes & Sec 21 & do Sec 21 pgs 196-7: 1, 2, 7, 8, 12, 14. Look over quiz and its solutions; use password math4321 to open the file. |
|
02/04/14 |
Read lecture notes & Sec 22 & do Sec 22 pgs 207-8: 1-6, 22, 25. |
|
02/06/14 |
Test 1 today. It will cover material through Sec 21 inclusive: see test information sheet. Read lecture notes & Sec 22 & do Sec 22 pgs 207-8: 7, 8, 14, 20. |
|
02/11/14 |
Read lecture notes & pgs 209-213 & do Sec 23 pgs 218-220: 2, 4, 35, 36, 9, 10. Look over Test 1 and its solutions; use password math4321 to open the file. |
|
02/13/14 |
Read lecture notes & Sec 23 & do Sec 23 pgs 218-220: 34, 14, 16, 18. 6, 27, 28. |
|
02/18/14 |
Read lecture notes & pgs 224.5-226 & do Sec 24 pgs 226-7: 14, 5, 4, 6, 10. |
|
02/20/14 |
Read lecture notes & Sec 26 & do Sec 26 pgs 243-5: 29, 2, 17, 37, 4, 12-14, 18, 24, 38(a)(b). |
|
02/25/14 |
Test 2 today. It will cover material through Sec 24 inclusive: see test information sheet. Read lecture notes & Sec 26 & do Sec 26 pgs 243-5: 22(a)(c), 25, 26, 32. |
|
02/27/14 |
Read pgs 245-7 & lecture notes & do Sec 27 pgs 252-4: 1 (max ideals only), 2 (max ideals only), 34, 35, 37. Look over Test 2 and its solutions; use password math4321 to open the file. |
|
03/04/14 |
Learn box on pg 248. Read Sec 27 & lecture notes & do Sec 27 pgs 252-4: 1, 2, 24, 14(a)(b)(f), 31, 5, 6, 30. |
|
03/06/14 |
Read lecture notes & pgs 265-9 & do Sec 29 pgs 272-4: 1, 2, 4, 6(Hint: E. Criterion), 11, 12, 14, 21, 27. Go over the Quiz and Tests 1 and 2 during Spring Break and read over all lecture notes from start of semester!! Next test on April 8. |
|
03/11/14 |
SPRING BREAK |
|
03/13/14 |
SPRING BREAK |
|
03/18/14 |
Read lecture notes & Sec 29. Read Theorem 29.18 & Example 29.19. Do Sec 29 pg 272-3: 13, 15, 18, 30, 31. |
|
03/20/14 |
Read lecture notes & Sec 30 & do Sec 30 pgs 280-2: 15(a)-(d) (justify), 25 (note: "transformation" = "map"), 1, 2, 4, 6, 7, 19. |
|
03/25/14 |
Read lecture notes & pgs 283-289 & do Sec 31 pgs 291-3: 1-3, 5, 7, 9, 11, 13, 19(a)-(c), 22, 28, 29, 35 (hint: show that the squaring function is not one-to-one nor onto). |
|
03/27/14 |
Finish previous assignments. Go over the Quiz and Tests 1 and 2, since our next test will be on April 8. |
|
04/01/14 |
Read lecture notes & Sec 33 & do Sec 33 pgs 304-5: 8(a),(g)(justify), 11, 1, 8(c)(justify), 4. (Hint: for #4: there are many ways to do this question. You could read the statement of Thm 33.10 and either use Euler's φ function (why?), or you could write down a generic field with 9 elements using an element α for the generator of the cyclic group of nonzero elements in the field and work with the nonzero elements of the field as powers of α (we did something like this 2nd method today in class with the example drawn from Sec 29 #18.) Watch the Ted talk on symmetry and algebra, if you have not done so already. Next test on April 8. |
|
04/03/14 |
Read lecture notes & Sec 48 & do Sec 48 pgs 422-4: 1-3, 7-11, 13, 25. |
|
04/08/14 |
Test 3 today. It will cover material through Sec 33 inclusive: see test information sheet. |
|
04/10/14 |
Read lecture notes & Sec 48 & do Sec 48 pgs 422-4: 26, 15-21, 36(a),(b). Look over Test 3 and its solutions; use password math4321 to open the file. |
|
04/15/14 |
Read lecture notes & Sec 49 & do Sec 49 pgs 430-1: 1-3, 7, 8(b)(d)(e) (justify), 13. |
|
04/17/14 |
Read lecture notes & Sec 50 & do Sec 50 pgs 434-6: 1-5, 14(a)-(e),(j) (justify), 18,21. |
|
04/22/14 |
Read lecture notes & Sec 51 & do Sec 51 pgs 442-4: 7, 15, 8(a)-(g)(justify), 1-4, 9 ( hint: use E = F(α, β) ), 13. |
|
04/24/14 |
Today's handout is posted online. Read lecture notes & Sec 53 & do Sec 53 pgs 454-6: 1, 2, 11(a)(b), 13, 3, 4, 8, 11, 15(a)-(c),(e),(g) (justify). Read Sec 56. Complete online the student feedback survey by 11 pm on Fri May 2 -- check your mymav e-mail for the link. I appreciate the feedback; thank you! Bring to class next week any outstanding questions that you have. Such questions can be on the lecture notes, or on the homework, or on anything you have read regarding the material of Math 4321. However, the above schedule is tentative, so the schedule might need to be adjusted to accommodate a slower pace than that predicted above. |
|
04/29/14 |
We will spend the lecture completing the material from 4/24/14 and reviewing the course material. Complete online the student feedback survey by 11 pm on Fri May 2 -- check your mymav e-mail for the link. I appreciate the feedback; thank you! |
|
05/01/14 |
No new homework. Today's lecture will be a chance for you to ask questions. |
|
05/06/14 |
FINAL TEST today, starting at 2:00 pm; see test information sheet. |
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